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## Nonlinear Generation of Fluting Perturbations by Kink Mode in a Twisted Magnetic Tube

Solar Physics. 2022. Vol. 297. No. 9. Article 116.

Ruderman M. S., Petrukhin N.

We study the excitation of fluting perturbations in a magnetic tube by an initially imposed

kink mode. We use the ideal magnetohydrodynamic (MHD) equations in the cold-plasma

approximation. We also use the thin-tube approximation and scale the dependent and independent variables accordingly. Then we assume that the dimensionless amplitude of the kink

mode is small and use it as an expansion parameter in the regular perturbation method. We

obtain the expression for the tube boundary perturbation in the second-order approximation.

This perturbation is a superposition of sausage and fluting perturbations.

Ruderman M.., Petrukhin N., Astronomy and Astrophysics 2017 Vol. 600 No. A122 P. 1-11

The ability of phase mixing to provide eﬃcient damping of Alfvén waves even in weakly dissipative plasmas made it a popular mechanismforexplainingthesolarcoronalheating.Initiallyitwasstudiedintheequilibriumconﬁgurationswiththestraightmagnetic ﬁeldlinesandtheAlfvénspeedonlyvaryinginthedirectionperpendiculartothemagneticﬁeld.LatertheanalysisoftheAlfvénwave phase mixing was extended in various directions. In particular it was studied in two-dimensional planar magnetic plasma equilibria. Analytical investigation was carried out under the assumption that the wavelength is much smaller ...

Added: May 10, 2017

Petrukhin N. S., Solar Physics 2023 Vol. 298 No. 11 P. 1-14

We study kink and fluting waves in expanding and twisted magnetic flux tubes. We use the thin-tube and zero-beta plasma approximations. The equilibrium magnetic field is force free with a constant proportionality coefficient between the electrical current and the magnetic field. We derive the equation governing the kink and fluting waves in a tube. Using ...

Added: November 3, 2023

Petrukhin N., Ruderman M. S., Monthly Notices of the Royal Astronomical Society 2021 Vol. 501 P. 3017-3029

We study kink oscillations of a straight magnetic tube with a transitional region at its boundary. The tube is homogeneous in the axial direction. The plasma density monotonically decreases in the transitional region from its value inside the tube to that in the surrounding plasma. The plasma motion is described by the linear magnetohydrodynamic equations ...

Added: January 23, 2021

Ruderman M. S., Petrukhin N., Solar Physics 2022 Vol. 297 No. 6 Article 72

In this article we study the effect of a transitional layer in a magnetic tube on the real part
of the frequencies of kink oscillations. In our analysis, we use the model of a straight magnetic tube with the density and cross-section radius varying along the loop, and the thin-tube
thin-boundary (TTTB) approximation. First, we calculate the ...

Added: July 11, 2022

Ruderman M. S., Petrukhin N., Pelinovsky E., Solar Physics 2021 Vol. 296 Article 124

In this article we study the plasma motion in the transitional layer of a coronal loop randomly
driven at one of its footpoints in the thin-tube and thin-boundary-layer (TTTB) approximation. We introduce the average of the square of a random function with respect to time. This
average can be considered as the square of the oscillation amplitude ...

Added: August 18, 2021

Ruderman M., Petrukhin N., Astronomy and Astrophysics 2019 Vol. 631 P. A31-1-A31-12

ABSTRACT
The effect of siphon flow on kink oscillations of magnetic flux tubes is studied in the thin tube and thin boundary layer (TTTB) approximation. The presence of a transitional layer results in oscillation damping due to resonance absorption. To calculate the damping rate we use the regular perturbation method with the ratio of transitional layer ...

Added: October 17, 2019

Ruderman M. S., N. S. Petrukhin, Solar Physics 2023 Vol. 298 Article 125

We study kink and fluting waves in expanding and twisted magnetic flux tubes. We use the
thin-tube and zero-beta plasma approximations. The equilibrium magnetic field is force free
with a constant proportionality coefficient between the electrical current and the magnetic
field. We derive the equation governing the kink and fluting waves in a tube. Using this
equation we study ...

Added: December 3, 2023

Ruderman M. S., N. S. Petrukhin, Monthly Notices of the Royal Astronomical Society 2023 Vol. 523 No. 2 P. 2074-2082

We study oscillations of two parallel interacting magnetic tubes in the presence of plasma flow along the tubes. Using the cold plasma and thin tube approximations we derive the system of two equations describing these oscillations. This system of equations is valid for equilibria where the plasma density and flow velocity can vary along the ...

Added: July 26, 2023

Н. Новгород : ИД "Наш дом", 2016

трудах излагаются различные аспекты теории нелинейных колебаний и динамических управ-ляемых систем и их приложения в различных областях науки и техники. Основной тематикой конференции являются:
моделирование динамических систем,
аналитические, качественные и численные методы теории колебаний,
теория бифуркаций, • регулярные и хаотические колебания,
волновая динамика машин и конструкций,
управление колебаниями механических систем,
прикладные задачи теории колебаний.
Научные конференции «Нелинейные колебания механических систем» традиционно проводятся ...

Added: November 17, 2016

Ruderman M. S., Petrukhin N., Pelinovsky E., Solar Physics 2016 Vol. 291 No. 4 P. 1143-1157

We study kink oscillations of thin magnetic tubes. We assume that the density inside and outside the tube (and possibly also the cross-section radius) can vary along the tube. This variation is assumed to be of such a form that the kink speed is symmetric with respect to the tube centre and varies monotonically from ...

Added: June 2, 2016

Ruderman M., Petrukhin N., Solar Physics 2021 Vol. 296 Article 106

We study kink oscillations of a straight magnetic tube in the presence of siphon flows. The
tube consists of a core and a transitional or boundary layer. The flow velocity is parallel to
the tube axis, has constant magnitude, and confined in the tube core. The plasma density
is constant in the tube core and it monotonically decreases ...

Added: July 1, 2021

Irina A. Bakunina, Abramov-Maximov V., Nakariakov V. et al., Publications of the Astronomical Society of Japan 2013 Vol. 65 No. SP1 P. S13-1-S13-12

Long-term oscillations of microwave emission generated in sunspot magnetospheres are detected with the Nobeyama Radioheliograph (NoRH) at a frequency of 17 GHz, and the Siberian Solar Radio Telescope (SSRT) at 5.7 GHz. Significant periodicities in the range of 22–170 min are found in the variation of the emission intensity, polarisation and the degree of circular polarisation. Periods of ...

Added: December 30, 2013

I. A. Bakunina, Abramov-Maximov V. E., Smirnova V. V., Journal of Physics: Conference Series 2016 Vol. 675 No. 3 P. 1-6

This work presents the microwave long-term oscillations with periods of a few tens of minutes obtained from Nobeyama radioheliograph (NoRH) at frequency 17 GHz. In two active regions the fluctuations of radio emission of different types of intersunspot sources (ISS) (compact and extended) were compared with the fluctuations in magnetic fields of sunspots. Common periods ...

Added: February 25, 2016

Bespalov P. A., Savina O. N., Monthly Notices of the Royal Astronomical Society 2018 Vol. 480 No. 4 P. 4761-4765

A beam pulsed amplifier mechanism responsible for effective amplification of short electromagnetic pulses by relativistic electrons is proposed. Effective pulse amplification inside the rarefied magnetosphere is considered. A conditional growth rate of short electromagnetic pulses is calculated. The amplification takes place for an extraordinary mode in a frequency band close to half the local electron ...

Added: November 26, 2018

Ruderman M. S., Pelinovsky E., Petrukhin N. et al., Solar Physics 2013 Vol. 286 No. 2 P. 417-426

Propagating kink waves are ubiquitously observed in solar magnetic wave guides. We consider the possibility that these waves propagate without reflection although there is some inhomogeneity. We briefly describe the general theory of non-reflective, one-dimensional wave propagation in inhomogeneous media. This theory is then applied to kink-wave propagation in coronal loops. We consider a coronal ...

Added: March 28, 2013

Копнин С.И., Морозова Т. И., Попель С.И., Физика плазмы 2019 Т. 45 № 9 С. 831-838

Linear and nonlinear waves in the near-surface plasma at Phobos and Deimos are considered. It is shown that the motion of the solar wind relative to photoelectrons and charged dust grains violates the isotropy of the electron distribution function in the near-surface plasma at the Martian satellites, which leads to the development of instability and excitation of high-frequency ...

Added: September 22, 2019

Petrukhin N., Pelinovsky E., Талипова Т. Г., Izvestia, Atmospheric and Oceanic Physic 2012 Vol. 48 No. 2 P. 169-173

Using the linear theory of waves in a compressible atmosphere located in a gravitational field, we found a family of sound speed profiles for which the wavefield can be represented by a traveling wave with no reflection. The vertical flux of wave energy on these nonreflected profiles is retained, which proves that the energy transfer ...

Added: November 27, 2012

Trofimova T., М. : Юрайт, 2013

Изложены все разделы физики для вузов: механика, молекулярная физика, термодинамика, электричество и магнетизм, колебания и волны, элементы квантовой физики атомов и молекул, элементы физики атомного ядра и элементарных частиц. Приводятся основные понятия, законы и формулы, примеры решения задач, а также задачи для самостоятельного решения.
Для студентов технических специальностей вузов и техникумов, а также старшеклассников и абитуриентов, ...

Added: February 15, 2013

Efremov V. I., Solov'ev A. A., Parfinenko L. D. et al., Astrophysics and Space Science 2018 Vol. 363 No. 61 P. 1-14

A specific type of artifacts (named as “p2p”), that originate due to displacement of the image of a moving
object along the digital (pixel) matrix of receiver are analyzed in detail. The criteria of appearance and the influence
of these artifacts on the study of long-term oscillations of sunspots are deduced. The obtained criteria suggest us methods for reduction or even ...

Added: March 4, 2018

Petrukhin N., Ruderman M., Pelinovsky E., Solar Physics 2015 Vol. 290 No. 5 P. 1323-1335

We study the propagation of pulses of kink waves in magnetic-flux tubes. We use the thin-tube approximation and assume that the dependence of the phase speed on the distance along the tube is either linear or quadratic. In this case, the wave equation describing the propagation of kink waves reduces to the Klein–Gordon equation with ...

Added: August 4, 2015

Golikov E. A., V.V. Izmodenov, Alexashov D. B. et al., Monthly Notices of the Royal Astronomical Society 2017 Vol. 464 No. 1 P. 1065-1076

Opher et al., Drake, Swisdak and Opher have shown that the heliospheric magnetic field results in formation of two-jet structure of the solar wind flow in the inner heliosheath, i.e. in the subsonic region between the heliospheric termination shock (TS) and the heliopause. In this scenario, the heliopause has a tube-like topology as compared with a ...

Added: January 26, 2018

I.A. Bakunina, Melnikov V. F., Astronomical and Astrophysical Transactions 2019 Vol. 31 No. 3 P. 251-266

In this paper, we describe the spatial structure and time characteristics of the microwave emission of active region AR 12673 during the rapid changes in the magnetic
ux from September 3 to September 6, 2017 using Nobeyama Radioheliograph observations. It is shown that the microwave emission of the active region exhibits extremely
non-stationary behavior of both spatial ...

Added: October 31, 2019

K. P. Zybin, A. S. Il’yn, Kopyev A. V. et al., Doklady Physics 2022 Vol. 68 No. 9 P. 278-281

The dynamics of a statistically homogeneous isotropic magnetic field generated by an incompressible turbulent plasma flow with a large, yet finite magnetic Prandtl number is discussed. It has been found that, on scales smaller than the Kolmogorov viscosity scale, the nonlinear feedback of a magnetic field to the fluid dynamics decreases exponentially, despite the fast ...

Added: February 4, 2024

Ilyin A., Zybin K., Сирота В. А., Physica Scripta 2019 Vol. 94 P. 064001

Statistical properties of a statistically homogeneous random magnetic ﬁeld in a viscous diffusive ﬂuid are derived from the evolution of a single blob of the magnetic ﬁeld. It is shown that, although the magnetic ﬁeld of a single blob decreases in time, the volume occupied by the magnetic ﬁeld and its energy increase; this is ...

Added: October 30, 2019